Mean value and Harnack inequalities for degenerate parabolic equations

DOI10.4064/cm-60-61-1-157-194zbMath0785.35057OpenAlexW940174441MaRDI QIDQ4713535

Richard L. Wheeden, Cristian E. Gutiérrez

Publication date: 25 June 1992

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-60-61-1-157-194

zbMATH Keywords

iterative techniquesHarnack-type inequalitymean value inequalitieslocal boundedness of solutionsSobolev interpolation inequalities

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items (21)

Extension properties and boundary estimates for a fractional heat operator ⋮ Optimal results for the fractional heat equation involving the Hardy potential ⋮ Hölder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities ⋮ An extension problem for the fractional derivative defined by Marchaud ⋮ Parabolic Harnack inequality for divergence form second order differential operators ⋮ Unnamed Item ⋮ Harnack inequality for parabolic equations with coefficients depending on time ⋮ Pointwise estimates of solutions to the weighted porous medium equation and the fast diffusion one via weighted Riesz potentials ⋮ Quantitative a priori estimates for fast diffusion equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity ⋮ Harnack inequalities: an introduction ⋮ A Harnack type inequality and a maximum principle for an elliptic-parabolic and forward-backward parabolic De Giorgi class ⋮ A Harnack inequality for weighted degenerate parabolic equations ⋮ Weighted inequalities on John domains ⋮ Sobolev Inequalities in Familiar and Unfamiliar Settings ⋮ On the continuity of solutions of the equations of a porous medium and the fast diffusion with weighted and singular lower-order terms ⋮ Non-local Dirichlet forms and symmetric jump processes ⋮ Some extension results for nonlocal operators and applications ⋮ On the convergence of a class of degenerate parabolic equations ⋮ Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations ⋮ Competition reaction-absorption in some elliptic and parabolic problems related to the Caffarelli-Kohn-Nirenberg inequalities ⋮ Boundary estimates for solutions to linear degenerate parabolic equations

This page was built for publication: Mean value and Harnack inequalities for degenerate parabolic equations